I have to say, I do come down on the side of "don't panic".
I've only been on APUG/Photrio about 5 years but I've already seen multiple threads posted about predicted doom regarding airports and X-rays. A lot of people who don't travel frequently with film worried even before these new machines. Personally my belief is that if you approach any airport security with the attitude that you're doomed, they pick up on that and probably won't cede to your request for film inspection by hand. Having said that, Schipol airport has for some time been known as somewhere with particularly unpleasant security bods. I've only been through Schipol once, I was fine but my wife was impatient (as she often is) and therefore not only got selected for an extra inspection but was given a talking to by the security staff - something I nor she has ever seen anywhere else in well over 300 commercial flights between us.
AS for LHR being the worst airport, you've clearly never flown to CVG....but "my airport is better than yours" won't help either. The security people have a task to perform, which is to get people and their hand baggage *quickly* through the system while ensuring every item taken on board is at least scanned. *quickly* is important because if everyone started requesting hand inspections it would take more time....passengers would be delayed and everyone would be that little bit more on edge. Security staff don't want to chat, they want to get you through their station ASAP while doing their job. Book expedited security if you are able at your airport, arrive early, be polite. The amount of camera gear I take through cabin baggage inspection often arouses suspicion (specifically outside the UK) but when I am asked to take out the cameras and show them to the security bods, I simply do so. My wife says things like "He has 8 cameras, are you sure you want that?"....and they glare at her, sometimes choosing her for extra checks because of her attitude (just a few days ago they decided to pull her aside and swab her for explosives at FNC)...I just get on with it and usually they simply stop me part way through and wave me on. In my experience attitude is everything. i don't know how many flights I've taken, I used to keep count but lost my spreadsheet in a HDD crash a few years ago. I was on 126 flights at that point. I know others fly much more, my dad made at least 10 flights a year for 30 years or more, always took a camera and film even though he was on business...never had any issues...also had the same attitude as me and never had problems with security, including flying "behind the iron curtain" in the late 70s and to China in the early 80s.
Be nice. it genuinely helps.
As Henning says, what we can do is keep updated on airports installing the new CT scanners. We can help the upkeep of a list of such airports here on Photrio. We can also write to or phone airports and ask them if they're aware their new scanners damage film and if hand inspection is possible. The more people who write to airports asking about the new scanners and hand inspection of film, the more the airports will realise there's an issue....and maybe they'll tell the security staff to expect occasional hand inspection requests. Maybe not....but ranting about it here won't actually help.
For their part, Kodak and Ilford seem to be doing some proper tests and Kodak have those labels you can stick to your luggage.